Question

Find the slope and y-intercept of the line.

18x + 4y = 112



; mc008-2.jpg


18; 112


; 28


; 28

Answer 1

To find the slope and y-intercept of the line given by the equation \(18x + 4y = 112\), we can first rearrange the equation into the slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

1. Start with the original equation:

\[
18x + 4y = 112
\]

2. Subtract \(18x\) from both sides:

\[
4y = -18x + 112
\]

3. Now, divide each term by 4 to solve for \(y\):

\[
y = -\frac{18}{4}x + \frac{112}{4}
\]

Simplifying the fractions:

\[
y = -\frac{9}{2}x + 28
\]

Now, we can identify the slope and the y-intercept from this equation:

- The slope (\(m\)) is \(-\frac{9}{2}\).
- The y-intercept (\(b\)) is \(28\).

So, the slope is \(-\frac{9}{2}\) and the y-intercept is \(28\).